Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations

@article{Cheng2014DiscontinuousGM,
  title={Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations},
  author={Yingda Cheng and Irene M. Gamba and Fengyan Li and Philip J. Morrison},
  journal={SIAM J. Numerical Analysis},
  year={2014},
  volume={52},
  pages={1017-1049}
}
Discontinuous Galerkin methods are developed for solving the Vlasov–Maxwell system, methods that are designed to be systematically as accurate as one wants with provable conservation of mass and possibly total energy. Such properties in general are hard to achieve within other numerical method frameworks for simulating the Vlasov–Maxwell system. The proposed scheme employs discontinuous Galerkin discretizations for both the Vlasov and the Maxwell equations, resulting in a consistent description… CONTINUE READING